Abstract
Let G be a locally compact σ -compact group with right Haar measure λ. A sequence {μn} of probabilities on G is called ergodic if for every f L1(G, λ) and t G we have μn* (f − δt* f) 1 → 0. If T (t) is a bounded continuous representation of G by linear operators in a Banach space X, we define the μ,-average of T(t) by.
Original language | English |
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Pages (from-to) | 181-196 |
Number of pages | 16 |
Journal | Ergodic Theory and Dynamical Systems |
Volume | 14 |
Issue number | 1 |
DOIs | |
State | Published - 1 Jan 1994 |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics